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File:As wiki lgm parab.svg

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Original file ‎(SVG file, nominally 512 × 414 pixels, file size: 726 KB)

Summary

Description
English: Graph of a paraboloid, its level sets and two line constraints.
Date (UTC)
Source This file was derived from: As wiki lgm parab.png: As wiki lgm parab.png

Matlab Logo.png
 This diagram was created with MATLAB.
Author


Applications-graphics.svg
This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Vector version. The original can be viewed here: As wiki lgm parab.png. Modifications made by Zerodamage.

Licensing

w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

Source code

The graph was made in Matlab with the following source code. Corrected in Inkscape 

% draw paraboloid level sets with lwo line constraints

parab = '(2*x)^2 + (3*y)^2 + 10';

l1_slope = 1.5;
l1_b = -1;

l2_slope = -1/l1_slope;
l2_b = l1_b-3;

figure (1);

hold off;
surface = ezsurf(parab);

hold on;
ezplot(['-y + ' num2str(l1_slope) '*x +' num2str(l1_b)]);
ezplot(['-y + ' num2str(l2_slope) '*x +' num2str(l2_b)]);
ezcontour(parab, 30);
set(gcf, 'Color', 'White');
title('');

%bug workaround to make Z-axis appear
set(surface,'MarkerEdgeColor','none');
set(surface,'Marker','+');

%set shading
shading flat;

%plot2svg must be retrieved from http://www.zhinst.com/blogs/schwizer/
plot2svg;

Original upload log

This image is a derivative work of the following images:

  • File:As_wiki_lgm_parab.png licensed with PD-self
    • 2010-05-25T19:03:37Z Andrebis 560x420 (39342 Bytes) {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{own}} |Author=[[User:Andrebis|Andrebis]] |Date=2010-05-25 |Permission= |other_versions= }} Useful for visualizing t

Uploaded with derivativeFX

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current10:05, 8 August 2012Thumbnail for version as of 10:05, 8 August 2012512 × 414 (726 KB)ZerodamageLayers, margins, scale bottom layer
09:53, 8 August 2012Thumbnail for version as of 09:53, 8 August 2012512 × 384 (743 KB)Zerodamage== {{int:filedesc}} == {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{Derived from|As_wiki_lgm_parab.png|display=50}} |Date=2012-08-08 09:52 (UTC) |Author=*File:As_wiki_lgm_parab.png:...
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